Given Information:
Resistance = R = 250 Ω
Voltage = V = 3 V
Tolerance = ±5%
Required Information:
Maximum current = Imax = ?
Minimum current = Imin = ?
Answer:
Imax = 12.6 uA
Imin = 11.4 uA
Explanation:
As we know from Ohm's law
I = V/R
The current will be maximum when R is minimum and the current will be minimum when R is maximum
Rmax = 250,000 + 0.05*250,000
Rmax = 250,000 + 12500
Rmax = 262500 Ω
Rmin = 250,000 - 0.05*250,000
Rmin = 250,000 - 12500
Rmin = 237500 Ω
Imax = V/Rmin
Imax = 3/237500
Imax = 12.6 uA
Imin = V/Rmax
Imin = 3/262500
Imin = 11.4 uA
Answer:
A₁/A₂ = 0.136
Explanation:
The power radiated by a filament bulb is given by the following formula:
E = σεAT⁴
where,
E = Emissive Power
σ = Stephen Boltzman Constant
ε = emissivity
A = Area
T = Absolute Temperature
Therefore, for bulb 1:
E₁ = σε₁A₁T₁⁴
And for bulb 2:
E₂ = σε₂A₂T₂⁴
Dividing both the equations:
E₁/E₂ = σε₁A₁T₁⁴/σε₂A₂T₂⁴
According to given condition, the emissive power and the emissivity is same for both the bulbs. Therefore,
E/E = σεA₁T₁⁴/σεA₂T₂⁴
1 = A₁T₁⁴/A₂T₂⁴
A₁/A₂ = (T₂/T₁)⁴
where,
T₁ = 2800 K
T₂ = 1700 K
Therefore,
A₁/A₂ = (1700 K/2800 K)⁴
<u>A₁/A₂ = 0.136</u>
The particles are making no motion at all.
The equation of GPE is mgH, where m is mass, g is gravitational acceleration, and H is the height.
If we're solving for the change in GPE, then:
∆
= mg∆H
<u>Input our given values for m and g:</u>
∆ = 0.25 * 9.80 * ∆H
<u>The book falls from 2 meters high to 0.5 meters high, so:</u>
∆ = 0.25 * 9.80 * (2.0 - 0.5)
∆ = 0.25 * 9.80 * 1.5
∆ = 3.675 (J)
<u>Adjust for significant figures:</u>
∆ = 3.7 (J)
The change in gravitational potential energy was 3.7 (J)
If you have any questions on anything I did to get to the answer, just ask!
- breezyツ
Answer:
a) L = 33.369 m
, b) 21
Explanation:
The analysis of the ocean depth can be performed assuming that at the bottom of the ocean there is a node and the surface must have a belly, so the expression for resonance is
λ = 4 L / n
n = 1, 3, 5, ...
The speed of the wave is
v = λ f
v = 4L / n f
L = n v / 4f
Let's write the expression for the two frequencies
L = n₁ 343/4 53.95
L = n₁ 1,589
L = n₂ 343/4 59
L = n₂ 1.4539
Let's solve the two equations
n₁ 1,589 = n₂ 1,459
n₁ / n₂ = 1.4539 / 1.589
n₁ / n2 = 0.91498
Since the two frequencies are very close the whole numbers must be of consecutive resonances, let's test what values give this value
n₁ n₂ n₁ / n₂
1 3 0.3
3 5 0.6
5 7 0.7
7 9 0.77
9 11 0.8
17 19 0.89
19 21 0.905
21 23 0.913
23 25 0.92
Therefore the relation of the nodes is n₁ = 21 and n₂ = 23
Let's calculate
L = n₁ 1,589
L = 21 1,589
L = 33.369 m
b) the number of node and nodes is equal therefore there are 21 antinode
